Expression

Problem 10801

Convert 0.26 watts of power generated by the body into scientific notation.

See Solution

Problem 10802

Convert 0.26 watts of electrical power generated by the body into scientific notation: $0.26=$

See Solution

Problem 10803

Calculate $\frac{2.4^{3}}{\sqrt{5+\pi}-1}$ and round to the nearest thousandth.

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Problem 10804

Calculate $\frac{2.4^{3}}{\sqrt{5+\pi}-1}$ and round to the nearest thousandth.

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Problem 10805

Resuelve las siguientes operaciones:
1. $\frac{2}{7}-1=$
2. $\frac{1}{2}-\frac{2}{3}+\frac{3}{4}=$
3. $\left(\frac{2}{7}\right)(-4)=$
4. $\left(-\frac{3}{5}\right)\left(\frac{2}{7}\right)\left(-\frac{1}{2}\right)=$
5. $\frac{-\frac{1}{4}}{-\frac{1}{5}}=$
6. $\frac{-\frac{3}{7}}{8}=$

See Solution

Problem 10806

Find the percent change from $A$ to $B$ and from $B$ to $A$ for $A=\$ 1.23$ and $B=\$ 1.50$ .

See Solution

Problem 10807

Simplifica las siguientes expresiones: a) $3(x+6)+4(2 x-5)$ b) $(x+3)(4 x-5)$ c) $(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})$ d) $(2 x+3)^{2}$ e) $(x+2)^{3}$

See Solution

Problem 10808

Calculate $\frac{1.8^{3}}{\sqrt{4+\pi}-2}$ and round your answer to the nearest thousandth.

See Solution

Problem 10809

Sid spent \ $6.80 on wrapping paper and \$7.35 on ribbon. He wrote$ (6.80+7.35) \div 8$ to find the cost per gift. How many gifts did he wrap?

See Solution

Problem 10810

Find the molar concentration in mol/L using mass density 2.40 g/mL and molar mass 116.86 g/mol:
$\frac{(2.40 \, \text{g/mL}) \cdot (1 \, \text{mL}/10^{-3} \, \text{L})}{(116.86 \, \text{g/mol})}$

See Solution

Problem 10811

Yolanda bought $3 \times\left(\frac{1}{4}+\frac{7}{8}+1 \frac{1}{2}\right)$ lbs and Sam bought $2 \times\left(\frac{1}{4}+\frac{7}{8}+1 \frac{1}{2}\right)$ lbs. Who bought more? Explain.

See Solution

Problem 10812

Show a counterexample to the definition of vertical angles: $\angle A P C$ and $\angle B P D$ at intersection $P$ .

See Solution

Problem 10813

Calculate the volume of a rectangular prism with dimensions $4 \times 4 \times 4$ .

See Solution

Problem 10814

Simplify the expression: $2(x-4)+3(2-x)+2x+7$ .

See Solution

Problem 10815

Find the volume of a rectangular prism toy chest that is 4 ft long, 2 ft wide, and 2 ft tall. Use $V = l \times w \times h$ .

See Solution

Problem 10816

Find the volume of a solid with a circular base radius 4 and square cross-sections perpendicular to the $x$ -axis.

See Solution

Problem 10817

Calculate the quotients and verify your results: 10. $3.38 \div 2.6=$ , 11. $6.12 \div 1.53=$ .

See Solution

Problem 10818

Calculate $0.63 \div 0.9$ .

See Solution

Problem 10819

Calculate the total number of license plates with 2 letters and 5 digits. Use the formula: $26^2 \times 10^5$ .

See Solution

Problem 10820

Convert $6 \frac{7}{8}$ to an improper fraction in three different methods.

See Solution

Problem 10821

Find the ratio ( $a: b$ ) of the Perimeter to the Area of a rectangle with sides 2.5 in and 4.25 in.

See Solution

Problem 10822

Determine how many ninths are in $2 \frac{5}{9}$ .

See Solution

Problem 10823

Rationalize and simplify the expression: $\frac{2}{\sqrt{7}+\sqrt{5}}$ .

See Solution

Problem 10824

How many different car choices are there with 3 body styles, 2 colors, and 3 models? Calculate: $3 \times 2 \times 3$ .

See Solution

Problem 10825

Find the volume of a clubhouse made of $n$ cubes, each with side length $a$ . Use the formula for volume.

See Solution

Problem 10826

Simplify the expression: $w \cdot w^{4} \cdot w^{3}$ .

See Solution

Problem 10827

Simplify the expression $\frac{1}{2} x^{0} y^{4}$ .

See Solution

Problem 10828

Locate the point for $3 \frac{5}{6}$ on a number line from 3 to 4 divided into twelfths.

See Solution

Problem 10829

Find the volume-to-surface area ratio for volume $30 \, \text{cm}^3$ and surface area $62 \, \text{cm}^2$ as a reduced fraction.

See Solution

Problem 10830

A pianist has 8 pieces for a recital. How many ways can she arrange them? Your answer is: $8!$

See Solution

Problem 10831

How many ways can 5 runners finish a race without ties? Your answer is: $5!$

See Solution

Problem 10832

Round 4,827 to the nearest ten.

See Solution

Problem 10833

Round 4,827 to the nearest ten, hundred, and thousand.

See Solution

Problem 10834

How many different pizzas can you create with 4 crusts, 3 cheeses, 6 meats, and 4 veggies if you choose 1 of each?

See Solution

Problem 10835

Which option shows "one hundred thirty thousand, sixty-two" in standard form? A. 100,362 B. 130,062 C. 130,620

See Solution

Problem 10836

Find the value of each digit in 37,026: 3: , 7: , 0: , 2: , 6: .

See Solution

Problem 10837

Find the expression value for $x=-6$ and $y=-\frac{1}{2}$ : $4(x^{2}+3)-2y$ . A. -131 B. -35 C. $57\%$ D. 157

See Solution

Problem 10838

How many ways can you choose 3 books from 9? Your answer is: $\binom{9}{3}$

See Solution

Problem 10839

What is 2,653 rounded to the nearest hundred?

See Solution

Problem 10840

How many ways can you award first, second, and third prizes among 605 contestants? Your answer is: $605 \times 604 \times 603$

See Solution

Problem 10841

Simplify the expression: $(\frac{1}{7} x + 8) + (3 x - 1)$ . What is the result? A. $\frac{23}{63} x + \frac{1}{2}$ B. $\frac{23}{63} x + \frac{1}{4}$ C. $-\frac{5}{63} x + \frac{1}{2}$ D. $\frac{3}{16^{x}} + \frac{1}{4}$

See Solution

Problem 10842

Simplify the expression: $(\frac{1}{7} x+\frac{3}{8})+(\frac{2}{9} x-\frac{1}{8})$ . What is the result?

See Solution

Problem 10843

Find the value of $\frac{a+2bc}{3a}$ for $a=4$ , $b=-5$ , and $c=-7$ . Choices: A. $-5 \frac{1}{2}$ B. $-1 \frac{2}{3}$ C. $6 \frac{1}{6}$ D. 171

See Solution

Problem 10844

What is the standard form of the number $30,000 + 5,000 + 700 + 9$ ?

See Solution

Problem 10845

Convert 268442 into standard form.

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Problem 10846

Find the value of $\ln(e^{4}) + \ln(e^{5}) + \ln(e^{6})$ as a whole number.

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Problem 10847

Write 81,304 in expanded form using powers of ten.

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Problem 10848

Find the value of $7^{2 \log_{64}(8)}$ without a calculator, providing a whole or exact number.

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Problem 10849

Simplify the expression: $\frac{4+8 \div 4}{1^{6}}$ . Is it A. $\frac{4+8 \div 4}{1^{6}}=$ or B. undefined?

See Solution

Problem 10850

Simplify the expression: $\frac{5(8-5)+3}{3^{2}-3}$ . Is it A. $\frac{5(8-5)+3}{3^{2}-3}=$ or B. undefined?

See Solution

Problem 10851

To compare two mixed numbers with the same whole number part, focus on their fractional parts.

See Solution

Problem 10852

Write three equivalent fractions for each: a. $\frac{7}{10}$ , b. $\frac{-7}{12}$ , c. $\frac{0}{7}$ , d. $\frac{a}{5}$ .

See Solution

Problem 10853

Find three equivalent fractions for each: a. $\frac{7}{10}$ , b. $\frac{-7}{12}$ , c. $\frac{0}{7}$ , d. $\frac{a}{5}$ .

See Solution

Problem 10854

Find three fractions equal to $\frac{-7}{12}$ . Match the numerator for $\frac{\square}{72}$ .

See Solution

Problem 10855

Find three fractions equivalent to $\frac{-7}{12}$ . What is the numerator for $\frac{-7}{12}=\frac{\square}{24}$ ?

See Solution

Problem 10856

Find the 2 positive terms in the integral of $\cos ^{4} x \sin ^{2} x \, dx$ .

See Solution

Problem 10857

Convert the mixed numbers to improper fractions: a. $5 \frac{1}{6}=$ b. $-3 \frac{5}{7}=$

See Solution

Problem 10858

Multiply the fractions: $\frac{10}{8} \cdot \frac{7}{5}$ . Simplify your answer.

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Problem 10859

Multiply and simplify: $4 \cdot 3 \frac{1}{3} =$ (whole number, fraction, or mixed number).

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Problem 10860

Add the fractions: $\frac{5}{12}+\frac{1}{3}=$ (Type a whole number or a simplified fraction.)

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Problem 10861

Divide and simplify: $\frac{5}{6} \div \frac{25}{9}$ . Choose A for a number or fraction, B if undefined.

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Problem 10862

Simplify the expression $\frac{1+|9-2|+5^{3}}{8-7}$ and provide your answer as an integer or fraction.

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Problem 10863

Subtract the mixed numbers: $9 \frac{2}{3} - 4 \frac{1}{5}$ . Simplify your answer to a whole number, proper fraction, or mixed number.

See Solution

Problem 10864

Convert the following to decimals: a. An insect's body length is about $0.125$ inches. b. A planet orbits its sun every $234.076$ days.

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Problem 10865

Find the z-scores for the observations 14.5, 5.3, and 8.5 given a mean of 8.1 and standard deviation of 2.5. Interpret each.

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Problem 10866

Find the z-scores for observations 14.5, 5.3, and 8.5 given mean $8.1$ and standard deviation $2.5$ . Interpret each.

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Problem 10867

Find $\sec \theta$ if $\cos \theta = -\frac{2}{\sqrt{20}}$ .

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Problem 10868

Convert these to base-ten numerals: a. $9 \cdot 10^{6}+4 \cdot 10^{4}+8$ , b. $5 \cdot 10^{4}+1$ .

See Solution

Problem 10869

Write $20344_{\text{five}}$ in expanded notation. Which is correct? A. $2 \cdot 5^{4}+0 \cdot 5^{3}+3 \cdot 5^{2}+4 \cdot 5^{1}$ B. $2 \cdot 5^{3}+0 \cdot 5^{2}+3 \cdot 5^{1}+4$ C. $2 \cdot 5+0 \cdot 5+3 \cdot 5+4 \cdot 5$ D. $2 \cdot 5^{2}+0 \cdot 5^{1}+3 \cdot 5^{0}+4$

See Solution

Problem 10870

Write $2212_{\text{three}}$ in expanded form and convert it to base ten. Choose the correct expanded form below.

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Problem 10871

Convert these base-ten numbers to the specified bases: a. 372 to base 5, b. 4178 to base 12, c. 44 to base 2.

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Problem 10872

Convert these base-ten numbers to the specified bases: 372 to base 5, 4178 to base 12, and 44 to base 2.

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Problem 10873

What is the closest approximation of $\sqrt{53}$ from the options: 8.1, 7.3, 7.1, 7.7?

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Problem 10874

Find the length of one leg of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle with hypotenuse $22 \sqrt{2}$ units.

See Solution

Problem 10875

Convert $270^{\circ}$ to radians. Options: $\frac{\pi}{6}$ , $\frac{3}{2}$ , $\frac{3 \pi}{2}$ , 3.

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Problem 10876

Evaluate $4^{x}$ for (a) $x=-2$ and (b) $x=3$ . What are the simplified answers?

See Solution

Problem 10877

Calculate $687 \times 47$ .

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Problem 10878

Evaluate $8 \cdot 3^{x}$ for (a) $x=-2$ and (b) $x=3$ . Find the simplest forms of both results.

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Problem 10879

Convert 0.023 to a fraction in simplest form. Choices: $\frac{23}{10}$ , $\frac{23}{100}$ , $\frac{23}{1000}$ .

See Solution

Problem 10880

What is the probability that Heads is winning after 10 flips if Tails is flipped first?

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Problem 10881

Convert the fraction $\frac{98}{1000}$ to a decimal. Options: 0.98, 0.098, 0.0098, None of these.

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Problem 10882

Calculate the difference: $8.02 \cdot 0.003$ . Options: 7.990, 8.017, 8.019. None are correct.

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Problem 10883

Calculate the difference: $8.02 \cdot 0.003$ . Choose from 7.990, 8.017, 8.019. None are correct.

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Problem 10884

Find the percentage increase in the average price of a boat from \$17,500 in 1993 to \$27,300 in 2013.

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Problem 10885

Calculate the volume of aluminum foil with dimensions: length $14.79 \mathrm{~cm}$ , width $14.95 \mathrm{~cm}$ , thickness $0.002 \mathrm{~cm}$ .

See Solution

Problem 10886

Convert 1 g of aluminum foil to moles using the mass of 1 mole = $26.982 \mathrm{~g}$ .

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Problem 10887

Determine if 5.787787778 ... is rational or irrational. Provide your reasoning.

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Problem 10888

Is $\sqrt{42}$ a rational number? Provide your reasoning.

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Problem 10889

Convert $1011_{2}$ to decimal and $132_{10}$ to binary.

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Problem 10890

Identify the irrational number from the following list: $7.\overline{27}$ , $\frac{5}{9}$ , $\sqrt{15}$ , $\sqrt{196}$ .

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Problem 10891

Find the absolute value. What is $|-6.8|$ ?

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Problem 10892

Identify true statements about magnitude and absolute value. Check all that apply.

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Problem 10893

Find the value of $\sin \left(-\frac{4 \pi}{3}\right)$ . In which quadrant is the angle $\theta=-\frac{4 \pi}{3}$ ?

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Problem 10894

Andrew worked 6.6, 2.75, and 4.4 hours on a project. Why did he group the hours as $(6.6+4.4)+2.75$ ?

See Solution

Problem 10895

Add $6.6 + 2.75 + 4.4$ . Why is it easier to add in a specific order?

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Problem 10896

What is the reason for adding $6.6$ , $2.75$ , and $4.4$ in this order? (1 point)

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Problem 10897

Sort the stock price changes $-2 \frac{35}{100}$ , -1.64, 2.05, and $1 \frac{9}{50}$ in fraction form with a common denominator.

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Problem 10898

Find the midpoint $P$ on $\overline{N M}$ for points:
18. $N(-3,1), M(2,6)$
19. $N(-2,5), M(0,-4)$
20. $N(-2,-1), M(8,3)$
21. $N(4,5), M(-7,1)$
22. Find midpoint $C$ on $\overline{A B}$ where $A=(-1,2)$ .

See Solution

Problem 10899

Find the prime factorization of these numbers: a) 882 b) 6,760.

See Solution

Problem 10900

Find the greatest number of plates Nora can make with 108 hearts and 189 stars using GCF or LCM.

See Solution

1 ...106 107 108 109 110 111 112 ...144

Expression

Problem 10801

Convert 0.26 watts of power generated by the body into scientific notation.

Problem 10802

Convert 0.26 watts of electrical power generated by the body into scientific notation: 0.26=0.26= 0.26=

Problem 10803

Calculate 2.435+π−1\frac{2.4^{3}}{\sqrt{5+\pi}-1}5+π​−12.43​ and round to the nearest thousandth.

Problem 10804

Calculate 2.435+π−1\frac{2.4^{3}}{\sqrt{5+\pi}-1}5+π​−12.43​ and round to the nearest thousandth.

Problem 10805

Problem 10806

Find the percent change from AAA to BBB and from BBB to AAA for A=$1.23A=\$ 1.23A=$1.23 and B=$1.50B=\$ 1.50B=$1.50.

Problem 10807

Simplifica las siguientes expresiones: a) 3(x+6)+4(2x−5)3(x+6)+4(2 x-5)3(x+6)+4(2x−5) b) (x+3)(4x−5)(x+3)(4 x-5)(x+3)(4x−5) c) (a+b)(a−b)(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})(a​+b​)(a​−b​) d) (2x+3)2(2 x+3)^{2}(2x+3)2 e) (x+2)3(x+2)^{3}(x+2)3

Problem 10808

Calculate 1.834+π−2\frac{1.8^{3}}{\sqrt{4+\pi}-2}4+π​−21.83​ and round your answer to the nearest thousandth.

Problem 10809

Sid spent \6.80onwrappingpaperand$7.35onribbon.Hewrote6.80 on wrapping paper and \$7.35 on ribbon. He wrote 6.80onwrappingpaperand$7.35onribbon.Hewrote(6.80+7.35) \div 8$ to find the cost per gift. How many gifts did he wrap?

Problem 10810

Find the molar concentration in mol/L using mass density 2.40 g/mL and molar mass 116.86 g/mol: (2.40 g/mL)⋅(1 mL/10−3 L)(116.86 g/mol) \frac{(2.40 \, \text{g/mL}) \cdot (1 \, \text{mL}/10^{-3} \, \text{L})}{(116.86 \, \text{g/mol})} (116.86g/mol)(2.40g/mL)⋅(1mL/10−3L)​

Problem 10811

Yolanda bought 3×(14+78+112)3 \times\left(\frac{1}{4}+\frac{7}{8}+1 \frac{1}{2}\right)3×(41​+87​+121​) lbs and Sam bought 2×(14+78+112)2 \times\left(\frac{1}{4}+\frac{7}{8}+1 \frac{1}{2}\right)2×(41​+87​+121​) lbs. Who bought more? Explain.

Problem 10812

Show a counterexample to the definition of vertical angles: ∠APC\angle A P C∠APC and ∠BPD\angle B P D∠BPD at intersection PPP.

Problem 10813

Calculate the volume of a rectangular prism with dimensions 4×4×44 \times 4 \times 44×4×4.

Problem 10814

Simplify the expression: 2(x−4)+3(2−x)+2x+72(x-4)+3(2-x)+2x+72(x−4)+3(2−x)+2x+7.

Problem 10815

Find the volume of a rectangular prism toy chest that is 4 ft long, 2 ft wide, and 2 ft tall. Use V=l×w×hV = l \times w \times hV=l×w×h.

Problem 10816

Find the volume of a solid with a circular base radius 4 and square cross-sections perpendicular to the xxx-axis.

Problem 10817

Calculate the quotients and verify your results: 10. 3.38÷2.6=3.38 \div 2.6=3.38÷2.6=, 11. 6.12÷1.53=6.12 \div 1.53=6.12÷1.53=.

Problem 10818

Calculate 0.63÷0.90.63 \div 0.90.63÷0.9.

Problem 10819

Calculate the total number of license plates with 2 letters and 5 digits. Use the formula: 262×10526^2 \times 10^5262×105.

Problem 10820

Convert 6786 \frac{7}{8}687​ to an improper fraction in three different methods.

Problem 10821

Find the ratio (a:ba: ba:b) of the Perimeter to the Area of a rectangle with sides 2.5 in and 4.25 in.

Problem 10822

Determine how many ninths are in 2592 \frac{5}{9}295​.

Problem 10823

Rationalize and simplify the expression: 27+5\frac{2}{\sqrt{7}+\sqrt{5}}7​+5​2​.

Problem 10824

How many different car choices are there with 3 body styles, 2 colors, and 3 models? Calculate: 3×2×33 \times 2 \times 33×2×3.

Problem 10825

Find the volume of a clubhouse made of nnn cubes, each with side length aaa. Use the formula for volume.

Problem 10826

Simplify the expression: w⋅w4⋅w3w \cdot w^{4} \cdot w^{3}w⋅w4⋅w3.

Problem 10827

Simplify the expression 12x0y4\frac{1}{2} x^{0} y^{4}21​x0y4.

Problem 10828

Locate the point for 3563 \frac{5}{6}365​ on a number line from 3 to 4 divided into twelfths.

Problem 10829

Find the volume-to-surface area ratio for volume 30 cm330 \, \text{cm}^330cm3 and surface area 62 cm262 \, \text{cm}^262cm2 as a reduced fraction.

Problem 10830

A pianist has 8 pieces for a recital. How many ways can she arrange them? Your answer is: 8!8!8!

Problem 10831

How many ways can 5 runners finish a race without ties? Your answer is: 5!5!5!

Problem 10832

Round 4,827 to the nearest ten.

Problem 10833

Round 4,827 to the nearest ten, hundred, and thousand.

Problem 10834

How many different pizzas can you create with 4 crusts, 3 cheeses, 6 meats, and 4 veggies if you choose 1 of each?

Problem 10835

Which option shows "one hundred thirty thousand, sixty-two" in standard form? A. 100,362 B. 130,062 C. 130,620

Problem 10836

Find the value of each digit in 37,026: 3: , 7: , 0: , 2: , 6: .

Problem 10837

Find the expression value for x=−6x=-6x=−6 and y=−12y=-\frac{1}{2}y=−21​: 4(x2+3)−2y4(x^{2}+3)-2y4(x2+3)−2y. A. -131 B. -35 C. 57%57\%57% D. 157

Problem 10838

How many ways can you choose 3 books from 9? Your answer is: (93)\binom{9}{3}(39​)

Problem 10839

What is 2,653 rounded to the nearest hundred?

Problem 10840

How many ways can you award first, second, and third prizes among 605 contestants? Your answer is: 605×604×603605 \times 604 \times 603605×604×603

Convert 0.26 watts of electrical power generated by the body into scientific notation: $0.26=$

Calculate $\frac{2.4^{3}}{\sqrt{5+\pi}-1}$ and round to the nearest thousandth.

Calculate $\frac{2.4^{3}}{\sqrt{5+\pi}-1}$ and round to the nearest thousandth.

Find the percent change from $A$ to $B$ and from $B$ to $A$ for $A=\$ 1.23$ and $B=\$ 1.50$ .

Simplifica las siguientes expresiones: a) $3(x+6)+4(2 x-5)$ b) $(x+3)(4 x-5)$ c) $(\sqrt{a}+\sqrt{b})(\sqrt{a}-\sqrt{b})$ d) $(2 x+3)^{2}$ e) $(x+2)^{3}$

Calculate $\frac{1.8^{3}}{\sqrt{4+\pi}-2}$ and round your answer to the nearest thousandth.

Sid spent \ $6.80 on wrapping paper and \$7.35 on ribbon. He wrote$ (6.80+7.35) \div 8$ to find the cost per gift. How many gifts did he wrap?

Find the molar concentration in mol/L using mass density 2.40 g/mL and molar mass 116.86 g/mol:
$\frac{(2.40 \, \text{g/mL}) \cdot (1 \, \text{mL}/10^{-3} \, \text{L})}{(116.86 \, \text{g/mol})}$

Yolanda bought $3 \times\left(\frac{1}{4}+\frac{7}{8}+1 \frac{1}{2}\right)$ lbs and Sam bought $2 \times\left(\frac{1}{4}+\frac{7}{8}+1 \frac{1}{2}\right)$ lbs. Who bought more? Explain.

Show a counterexample to the definition of vertical angles: $\angle A P C$ and $\angle B P D$ at intersection $P$ .

Calculate the volume of a rectangular prism with dimensions $4 \times 4 \times 4$ .

Simplify the expression: $2(x-4)+3(2-x)+2x+7$ .

Find the volume of a rectangular prism toy chest that is 4 ft long, 2 ft wide, and 2 ft tall. Use $V = l \times w \times h$ .

Find the volume of a solid with a circular base radius 4 and square cross-sections perpendicular to the $x$ -axis.

Calculate the quotients and verify your results: 10. $3.38 \div 2.6=$ , 11. $6.12 \div 1.53=$ .

Calculate $0.63 \div 0.9$ .

Calculate the total number of license plates with 2 letters and 5 digits. Use the formula: $26^2 \times 10^5$ .

Convert $6 \frac{7}{8}$ to an improper fraction in three different methods.

Find the ratio ( $a: b$ ) of the Perimeter to the Area of a rectangle with sides 2.5 in and 4.25 in.

Determine how many ninths are in $2 \frac{5}{9}$ .

Rationalize and simplify the expression: $\frac{2}{\sqrt{7}+\sqrt{5}}$ .

How many different car choices are there with 3 body styles, 2 colors, and 3 models? Calculate: $3 \times 2 \times 3$ .

Find the volume of a clubhouse made of $n$ cubes, each with side length $a$ . Use the formula for volume.

Simplify the expression: $w \cdot w^{4} \cdot w^{3}$ .

Simplify the expression $\frac{1}{2} x^{0} y^{4}$ .

Locate the point for $3 \frac{5}{6}$ on a number line from 3 to 4 divided into twelfths.

Find the volume-to-surface area ratio for volume $30 \, \text{cm}^3$ and surface area $62 \, \text{cm}^2$ as a reduced fraction.

A pianist has 8 pieces for a recital. How many ways can she arrange them? Your answer is: $8!$

How many ways can 5 runners finish a race without ties? Your answer is: $5!$

Find the expression value for $x=-6$ and $y=-\frac{1}{2}$ : $4(x^{2}+3)-2y$ . A. -131 B. -35 C. $57\%$ D. 157

How many ways can you choose 3 books from 9? Your answer is: $\binom{9}{3}$

How many ways can you award first, second, and third prizes among 605 contestants? Your answer is: $605 \times 604 \times 603$

Simplify the expression: $(\frac{1}{7} x+\frac{3}{8})+(\frac{2}{9} x-\frac{1}{8})$ . What is the result?

Find the value of $\frac{a+2bc}{3a}$ for $a=4$ , $b=-5$ , and $c=-7$ . Choices: A. $-5 \frac{1}{2}$ B. $-1 \frac{2}{3}$ C. $6 \frac{1}{6}$ D. 171

What is the standard form of the number $30,000 + 5,000 + 700 + 9$ ?

Find the value of $\ln(e^{4}) + \ln(e^{5}) + \ln(e^{6})$ as a whole number.

Find the value of $7^{2 \log_{64}(8)}$ without a calculator, providing a whole or exact number.

Simplify the expression: $\frac{4+8 \div 4}{1^{6}}$ . Is it A. $\frac{4+8 \div 4}{1^{6}}=$ or B. undefined?

Simplify the expression: $\frac{5(8-5)+3}{3^{2}-3}$ . Is it A. $\frac{5(8-5)+3}{3^{2}-3}=$ or B. undefined?

Write three equivalent fractions for each: a. $\frac{7}{10}$ , b. $\frac{-7}{12}$ , c. $\frac{0}{7}$ , d. $\frac{a}{5}$ .

Find three equivalent fractions for each: a. $\frac{7}{10}$ , b. $\frac{-7}{12}$ , c. $\frac{0}{7}$ , d. $\frac{a}{5}$ .

Find three fractions equal to $\frac{-7}{12}$ . Match the numerator for $\frac{\square}{72}$ .

Find three fractions equivalent to $\frac{-7}{12}$ . What is the numerator for $\frac{-7}{12}=\frac{\square}{24}$ ?

Find the 2 positive terms in the integral of $\cos ^{4} x \sin ^{2} x \, dx$ .

Convert the mixed numbers to improper fractions: a. $5 \frac{1}{6}=$ b. $-3 \frac{5}{7}=$

Multiply the fractions: $\frac{10}{8} \cdot \frac{7}{5}$ . Simplify your answer.

Multiply and simplify: $4 \cdot 3 \frac{1}{3} =$ (whole number, fraction, or mixed number).

Add the fractions: $\frac{5}{12}+\frac{1}{3}=$ (Type a whole number or a simplified fraction.)

Divide and simplify: $\frac{5}{6} \div \frac{25}{9}$ . Choose A for a number or fraction, B if undefined.

Simplify the expression $\frac{1+|9-2|+5^{3}}{8-7}$ and provide your answer as an integer or fraction.

Subtract the mixed numbers: $9 \frac{2}{3} - 4 \frac{1}{5}$ . Simplify your answer to a whole number, proper fraction, or mixed number.

Convert the following to decimals: a. An insect's body length is about $0.125$ inches. b. A planet orbits its sun every $234.076$ days.

Find the z-scores for observations 14.5, 5.3, and 8.5 given mean $8.1$ and standard deviation $2.5$ . Interpret each.

Find $\sec \theta$ if $\cos \theta = -\frac{2}{\sqrt{20}}$ .

Convert these to base-ten numerals: a. $9 \cdot 10^{6}+4 \cdot 10^{4}+8$ , b. $5 \cdot 10^{4}+1$ .

Write $2212_{\text{three}}$ in expanded form and convert it to base ten. Choose the correct expanded form below.

What is the closest approximation of $\sqrt{53}$ from the options: 8.1, 7.3, 7.1, 7.7?

Find the length of one leg of a $45^{\circ}-45^{\circ}-90^{\circ}$ triangle with hypotenuse $22 \sqrt{2}$ units.